Question

List all two-element sets in P({a,b,c,d})

Note: this is discrete math, P stands for Power set. please explain if possible. Thanks!

Answer 1

{a,b}, {a,c} , {a,d}, {b,c}, {b,d}, {c, d}

Explanation:

If we have P({a, b, c, d}) where P is the power set, we know that there are 6 two elements sets in P (because this is the number of combinations of two elements taken from 4 elements,
`C_(4|2)=(4)(3)/2=12/2 = 6`

These 6 sets would be: {a,b}, {a,c} , {a,d}, {b,c}, {b,d}, {c, d}